Least Common Multiple of 2052 and 2058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2052 and 2058 the smallest integer that is 703836 that is divisible by both numbers.

Least Common Multiple (LCM) of 2052 and 2058 is 703836.

LCM(2052,2058) = 703836

LCM of 2052 and 2058

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2052 and 2058

LCM of 2052 and 2058 is 703836

Least common multiple can be found by multiplying the highest exponent prime factors of 2052 and 2058. First we will calculate the prime factors of 2052 and 2058.

Prime Factorization of 2052


2 2052
2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 2052 are 2, 3,19. Prime factorization of 2052 in exponential form is:

2052 = 22×33×191

Prime Factorization of 2058


2 2058
3 1029
7 343
7 49
7 7
1

Prime factors of 2058 are 2, 3,7. Prime factorization of 2058 in exponential form is:

2058 = 21×31×73

Now multiplying the highest exponent prime factors to calculate the LCM of 2052 and 2058.

LCM(2052,2058) = 22×33×73×191
LCM(2052,2058) = 703836

Factors of 2052

List of positive integer factors of 2052 that divides 2052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026, 2052

Factors of 2058

List of positive integer factors of 2058 that divides 2058 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058

Least Common Multiple of 2052 and 2058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2052 and 2058, than apply into the LCM equation.

GCF(2052,2058) = 6
LCM(2052,2058) = ( 2052 × 2058) / 6
LCM(2052,2058) = 4223016 / 6
LCM(2052,2058) = 703836

Properties of LCM 2052 and 2058

(i) The LCM of 2058 and 2052 is associative

LCM of 2052 and 2058 = LCM of 2058 and 2052

Related Least Common Multiples of 2052

Related Least Common Multiples of 2058

Frequently Asked Questions on LCM of 2052 and 2058

1. What is the LCM of 2052 and 2058?

Answer: LCM of 2052 and 2058 is 703836.

2. What are the Factors of 2052?

Answer: Factors of 2052 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026, 2052. There are 24 integers that are factors of 2052. The greatest factor of 2052 is 2052.

3. What are the Factors of 2058?

Answer: Factors of 2058 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058. There are 16 integers that are factors of 2058. The greatest factor of 2058 is 2058.

4. How to Find the LCM of 2052 and 2058?

Answer:

Least Common Multiple of 2052 and 2058 = 703836

Step 1: Find the prime factorization of 2052

2052 = 2 x 2 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 2058

2058 = 2 x 3 x 7 x 7 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 703836 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7 x 19

Step 4: Therefore, the least common multiple of 2052 and 2058 is 703836.